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Real affine hypersurfaces of the complex space $ℂ^{n + 1}$ with a J-tangent transversal vector field and an induced almost contact structure (φ,ξ,η) are studied. Some properties of the induced almost contact structures are proved. In particular, we prove some properties of the induced structure when the distribution is involutive. Some constraints on a shape operator when the induced almost contact structure is either normal or ξ-invariant are also given.

On some property of the tangency relation of sets.

Konik, Tadeusz (2007)

Balkan Journal of Geometry and its Applications (BJGA)

On some special surfaces connected with convex surfaces of the Lobachevskij space.

Ionin, V.K. (2002)

Sibirskij Matematicheskij Zhurnal

On special plane nets

Alois Švec (1990)

Czechoslovak Mathematical Journal

On superminimal surfaces

Thomas Friedrich (1997)

Archivum Mathematicum

Using the Cartan method O. Boruvka (see [B1], [B2]) studied superminimal surfaces in four-dimensional space forms. In particular, he described locally the family of all superminimal surfaces and classified all of them with a constant radius of the indicatrix. We discuss the mentioned results from the point of view of the twistor theory, providing some new proofs. It turns out that the superminimal surfaces investigated by geometers at the beginning of this century as well as by O. Boruvka...

On surfaces and their contours.

Roberto Pignoni (1991)

Manuscripta mathematica

On surfaces in $E^{3}$ with constant Gauss curvature

Karel Svoboda (1978)

Commentationes Mathematicae Universitatis Carolinae

On surfaces with constant mean curvature

H. Fath el Bab (1975)

Commentationes Mathematicae Universitatis Carolinae

On tensor functions whose gradients have some skew-symmetries

Adriano Montanaro (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $V_{n}$ be a real inner product space of any dimension; and let $Q^{α_{1} \dots α_{v}} = {\overset{⌃}{Q}}^{α_{1} \dots α_{v}} (X_{β 1 \dots β_{τ}})$ be a $C^{2}$ -map relating any two tensor spaces on $V_{n}$ . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs $(α_{μ}, β_{η})$ of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these systems appear...

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On solving the Plateau problem in parametric form.

On some analytical manifolds of constant sectional curvature.

On some classes of curves in a projective space

On some generalisations of constant mean curvature surfaces.

On some integrable cases in surface theory

On some properties of induced almost contact structures

On some property of the tangency relation of sets.

On some special surfaces connected with convex surfaces of the Lobachevskij space.

On special plane nets

On superminimal surfaces

On surfaces and their contours.

On surfaces in $E^{3}$ with constant Gauss curvature

On surfaces with constant mean curvature

On tensor functions whose gradients have some skew-symmetries

On the absolute differentiation of geometric object fields

On the affine convexity of convex curves and hypersurfaces.

On the affine normal

On the affine rectification of convex curves.

On the analyticity of minimal surfaces at movable boundaries of prescribed length.

On the arc length of parametric cubic curves.

Currently displaying 1101 – 1120 of 2174